That's cute, Mybier. Bier in french actually mans Beer, and frankly you would get a really nice wash and natural B.Linen growth from beer, especially because if its great hearty yeasts.
Mycodore is better for wild rind growth or post-wash growth on Savoie style cheeses. It's not so great in my opinion for washes. It is also pH sensitive and sensitive to salt so if your wash is over 2% salt it may not grow at all or worst -compete with B.Linen.
On the other hand, cheese like Reblochon gets washed with nothing but simple brine of water and salt. the B. Linen would still come out and be lovely. Putting your own B.Linen helps you speed up the growth and select the desired strain (for color, aroma and strength selection) but B.Linen would come out as long as you wash with a brine of 3%-4%, give the cheese enough air and humidity, and de-acidify the surface - something that Geo or Yeast can do for you. My word of advice, keep the Mycodore for cheese where it is effective and use salt water, or a brine of beer + 3%-4% salt. If you already put geo in the cheese than no need to add it to the wash. Also no need to add geo to beer wash.