There are a few points to debunk any possiblities relevant to this.
Point one- If L came to your tahanan to search, under the hidden alias of L, he would not identify himself. However, he would in a sense have to, or use a fake name, which of course, could be looked into under your own research if such a case arise. If no one were to know L's identity, it would be hard for a normal civilian to believe. A normal person would assume a fake, possibly a thief or something of the sort.
Point Two- Any rational person would inquire as to why they were suspected, hm? I rest my case on that point.
Point Three- I'm sure L of all people, would not be so straightforward as to immediately (emphasis on immediately) assume scrutiny of a tahanan was required. Or just go to someone's tahanan and straightforwardly say such an accusatory thing with nothing to back up such remarks.
Tell me if anything is wrong here, please, I'd like to know so I may correct myself if so needed.
I would let him in because i have nothing to hide and tell him a thousand times that i am a BIG time fan! At the end of the investigation he would probably book me for stalking though *I would follow him out of my house XD*
If you really aren't Kira, then you will have nothing to fear from me. I am not a foolish enough detective to ever convict the innocent. However, if you showed resistance, I might get suspicious. Just about 1% or 0.5% suspicious, of course, but still so.
Hello I know how to counter this simply hide *blank*(that's right L I know what your name is and scince I like you I would never have the guts to use my *blank* against you, doesn't mean I wont set Matsuda's annoying mouth on your ears)
Matsuda: What? But you pag-ibig me? .W: Yes but I like L better. Matsuda: Boohoo. .W : It's okay.I still pag-ibig you. Kira : Why wouldn't you kill L? .W: Becauase unlike you I don't suck! So any ways invite him in and give him some drugged cake * insert E.R.F. epic rape face jk insert M.E.RF. mega epic rape face just kidding again* then drop him off at the headquarters and keep Matsuda. Matsuda: Yayyyyyzzzz.!!!!!!