Make 20 same-stakes bets at +100 on a true odds +100 probability and there's a 17.62% chance you will go 10-10 and break even. There's a 41.19% chance you'll be winning and a 41.19% chance you'll be losing. If you vary your stakes there will be a different break-even point. There may even be a 0% chance of breaking even. However, the chances of being ahead will still exactly match the chances of being behind, as will be the amounts you are ahead or behind by.
If you bet 1% of 100 units and resize units to 1% of the new bankroll total after each result you will end up with 99.99 units after a W-L 2 bet series, 99.99 units after a L-W 2 bet series, 98.01 units after a L-L 2 bet series, and 102.01 units after a W-W 2 bet series. This is not what was said but perhaps what was implied. 3 of the 4 outcomes are below the starting point but each is equally likely and the true net outcome is net zero change from the starting bankroll.
It's just semantics.