The harsh reality is a single bitaxe will stand as much chance as a single S21 at mining a block every 10 minutes.
Going for an S21 does require a little more investment and running costs.
Bitaxe costs as much as running an LED bulb 24/7 , S21 is significantly more.
Comes to profitability it’s horses for courses you play the lottery or rely on how good your pool is at distributions
With Bitaxe you’re kinda restricted to a few pools, Ocean and couple of others but the distributions are just few sats a month, nothing really to write home about