Well off the top of my head - if I were fleeing war/persecution : I might not have enough time to go through a lengthy visa application process; I may not be able to travel to the applicable visa processing centre which might be hundreds of miles from my home or may even be in a different country (or I guess I just first apply for a visa to that country first?); I may not be able to provide a good enough reason for my visit (not having tried it this is an assumption but “sightseeing” just might not cut it); I may not have the necessary funds to demonstrate that I can support myself whilst visiting; I may not be able to show that I have reason to return home again after my trip.So what stops somebody from those countries, if they have a valid asylum claim, obtaining a visitor visa and entering the country legally to then claim asylum?
But apart from that, sure, it’s easy.