If that's the case, then your basically saying someone with say 1Th (or any hash be it higher or lower) after a good long while will earn 0 which is not true, since everyone, regardless of the pool your in and regardless of your hash rate still earns something.
No.
Mudbankkeith is saying nothing like that.
You're only denying your own statement. :-)
Yes, everyone
still earns something.
And as the time still hasn't reached infinity ;-) , there's still some reward for everybody with some (non-zero) hash rate.
But the reward can drop below value which is usable for withdrawals. One can for example make 0.00001 BTC per day on average. This is still "some" reward", but you will get minimal 0.01 BTC payment after 3 years. You can also hit reward rate such as 1 Satoshi per day, per week, per month....