With no rest at all, I have to assume that mons with access to other reliable recovery become pretty indispensable to any team that's not pure offense, so that's Starmie, Blissey, Miltank, Porygon2, Meganium, Exeggutor, Umbreon, Espeon, and even Nidoking/Nidoqueen, among a few others I'm sure I'm forgetting.
However, the existence of such Pokemon doesn't really mean a bulky team is going to be particularly viable. Status becomes incredibly potent with Rest gone, and Heal Bell doesn't really have enough PP to reliably beat Toxic spamming on its own. Any such team likely needs 2 Heal Bellers in Blissey and Miltank in order to stand up to such Toxic spam. In reality, I think these teams are limited and offense rules the day.
The meta is likely very focused around offensive mons, sleep-inducers, toxic, paralysis, and spikes. Mons like Nidoking and Gengar likely get much better. Faster mons like Espeon, Alakazam, and Jolteon probably become quite a bit better too since they're more likely to be able to clean when things get worn down more easily. I could see BD Charizard being a bit threat, since it's easier to keep mons faster than it paralyzed, with no rest around.
Totally disagree with cookie about Zapdos. I think it probably becomes much better since Lax and even Raikou to some extent become much less reliable checks (Raikou is really not gonna like taking a permanent Thunder para that it can't rest off). Lax is of course still going to be good, just much more predictable and not impossible to whittle down and break through. Zapdos is spikes immune and can run Protect with Leftovers to maintain its health as it forces lots of switches against the usual suspects. I imagine the go to set for Zapdos is now Tbolt/Thunder, HP, Toxic, Protect.
Other Spikes immune mons aside from Zapdos have this same advantage of being able to run Protect and actually keep a good amount of bulk, at least relative to everything else, though I'm not sure how many of them are really threatening enough to be worth it in this more offensive meta. Moltres can probably do its usual Sunny Day shenanigans, along with ProTox, instead of RestTalk.
The absence of Rest also likely means the absence of Sleep Talk, so mons that use Sleep-inducing moves likely become considerably more powerful. Aside from the usual suspects, I think Spore BD Pass Smeargle could be a bit obnoxious, since teams just don't have sleep absorbers anymore, and the nature of the meta might also lead to a decrease in phazers, since you don't need to worry about things like Curse Rest Lax, or Growth Rest Vaporeon, etc.
However, the existence of such Pokemon doesn't really mean a bulky team is going to be particularly viable. Status becomes incredibly potent with Rest gone, and Heal Bell doesn't really have enough PP to reliably beat Toxic spamming on its own. Any such team likely needs 2 Heal Bellers in Blissey and Miltank in order to stand up to such Toxic spam. In reality, I think these teams are limited and offense rules the day.
The meta is likely very focused around offensive mons, sleep-inducers, toxic, paralysis, and spikes. Mons like Nidoking and Gengar likely get much better. Faster mons like Espeon, Alakazam, and Jolteon probably become quite a bit better too since they're more likely to be able to clean when things get worn down more easily. I could see BD Charizard being a bit threat, since it's easier to keep mons faster than it paralyzed, with no rest around.
Totally disagree with cookie about Zapdos. I think it probably becomes much better since Lax and even Raikou to some extent become much less reliable checks (Raikou is really not gonna like taking a permanent Thunder para that it can't rest off). Lax is of course still going to be good, just much more predictable and not impossible to whittle down and break through. Zapdos is spikes immune and can run Protect with Leftovers to maintain its health as it forces lots of switches against the usual suspects. I imagine the go to set for Zapdos is now Tbolt/Thunder, HP, Toxic, Protect.
Other Spikes immune mons aside from Zapdos have this same advantage of being able to run Protect and actually keep a good amount of bulk, at least relative to everything else, though I'm not sure how many of them are really threatening enough to be worth it in this more offensive meta. Moltres can probably do its usual Sunny Day shenanigans, along with ProTox, instead of RestTalk.
The absence of Rest also likely means the absence of Sleep Talk, so mons that use Sleep-inducing moves likely become considerably more powerful. Aside from the usual suspects, I think Spore BD Pass Smeargle could be a bit obnoxious, since teams just don't have sleep absorbers anymore, and the nature of the meta might also lead to a decrease in phazers, since you don't need to worry about things like Curse Rest Lax, or Growth Rest Vaporeon, etc.