[YawningAngel]

You can play e.g.

1. e3 e5 2. e4 whatever

And you effectively have a king's pawn opening with colours reversed

[franknstein]

Can black refuse this 'color switch'? It seems like he can, for a while, by mimicking moves. 1. e3 e6 for example.

Does this strategy necessarily leads to provably losing position?

[SargeZT]

Provably there's little that can be said about chess at large when it comes from opening to endgame. Heuristically speaking though matching moves against even a beginner is a very bad strategy for play, as a recent speedrun being done by GM Aman Hambleton on youtube has been showing.

[1] https://www.youtube.com/watch?v=uUfF6l4A6Ks