Freebase Dali

The problem here is that you're seeing this anecdotal evidence speaking to only two options; something exists because they saw it, or something does not exist because they're lying. Putting aside the alarming statement about you not caring whether there's actual evidence involved, you're also not considering the very likely possibility that people have mistakenly interpreted occurrences throughout history and simply made assertions based on no evidence. And then you're making assumptions that their assumptions, which are based on more assumptions, is true.

I'm not making a claim at all that their stories are false. But I am saying it's wise to consider the possibility that they're not simply true because there are a lot of the same assumptions out there. As everyone knows, people assumed the earth was flat. And that assumption probably would have stuck around had evidence to the contrary not changed that notion.
Regardless of whether the value of evidence in that case is the same in the case of aliens, the value of evidence in general remains intact and irrefutable, as it can be relied upon in any case to determine the validity of any hypothesis.

As far as what seems more logical, if you ask me, it doesn't seem very logical to me that there are all these reports of UFOs and abductions, from thousands of years of history apparently, and we still have absolutely no actual evidence to prove them.
What does seem logical, however, is that human beings are not perfect, but are perfectly capable of misinterpreting and mistaking occurrences, and even some of them might be sick in the head, and others could even be lying. There's a myriad of possibility. However, to simply say "well, tons of people reported it, therefore it must be true" and ignore all the other possibilities is not logical at all, but naive, and indicative of a lapse in critical thinking and judgement.