To reiterate this would be for the pound EVENTS only. The normal pound may be tricky but even I, on a slow mobile, manage to snag rares there.
This suggestion is directed more at the chaotic (but fun) 100/200k events, where eveything is even faster and harder to catch if your even the tiniest bit slower. That's why I like the second option better, a limit during the event would allow fast players to get their fill of rares+ during the beginning, but as they hit the limit it would allow players with slower connection a chance.
Main Suggestion
[Edit/Update April 10, 2018 -
I still think something like this needs added for events like this in the future. I love it but it does seem many players consistently get the 'good' pets.
To make it simple what this is suggesting, if it is possible to implement:
When you manage to snag a rare+ from future pound events either a larger amount of wait time will be administered [Ei: Rare - Wait 1 hour. Very Rare - Wait 5 hours] if possible this would only affect that rarity and above [So it would still be possible to adopt uncommon and under] Second option seems more fair and allows for lesser rarity pets to still be adopted
OR
A limit is placed on the number of Rare, VR, and OMGSR you can adopt during the event [Ei: 10 rares, 5 VR, 1 OMGSR].
Uncommon and under wouldn't be affected if possible.
You'd would still be able to adopt lesser rarities after the rarity limit is reached
So if you get a VR, you'd still be able to get rares, and if you get the rare limit you'd still be able to get uncommon and under. If you reached the limit for that rarity, pets with that rarity would get something like a 'Unavailable' tag.
At the moment the second option sounds better, that way as the event goes on players with slower internet would have a better shot at snagging a rare or two
Hopefully this makes sense still!
End Edit/update]
[Bumping for this event. There's still people getting rares+ consistently while many can't get any at all. May be a bit outdated but the same principle still stands. Bigger time limit for rare+ pets]
I don't know how easy it would be, but I think it would make a lot of people happier if instead of the regular time limit, you put a limit like this
as a very rough example:
Very Rare/OMGSR (Never seen one of them in the pound though) - 1
Rare - 3(?)
Uncommon - 10(?)
Common and under - Unlimited?
And this would reset for you after 15-30 minutes
This would allow more people to get VR and R pets, especially for this event, and keep people with super fast internet from getting large quantities of rare or even list pets
Since the event is over now here's a modified example (of course the old obey could be kept in mind for any future pound giveaways)
1 VR/OMGSR adoption would have you wait a day, or maybe two, before you could adopt another
1 R would have a 12 hour cooldown
Uncommons might not need a cooldown at all? There are some high called Uncommons (warriors) so maybe? might be a bit much though. In case of another event it might be better implemented though