Requirements for a Bitcoin Miner Data & Bandwidth needs
Bandwith usage of a Bitcoin miner is almost negligible, in the order of 0.125 KB/sec source

Connection stability it's more important to keep the miner working 24 hours a day.

Also, some altcoin has block generation every minute, in this case also round trip time to the mining pool is important because otherwise you have high percentage of dead share. This doesn't really apply to Bitcoins because block generation is every 10 minutes.