[LAPlayer]

Most of the "ifs" you ask about are totally personal preference. Yours is the only one that matters. I would play my Tele and ask myself - what sort of difference do I want from my LP. Buy that. Buy the difference in neck, pickups.... that you are looking to get from a LP. I'm sure you already know this (but many don't) but there is no such thing as getting so-and-so's sound by plugging in and playing. You will have a host of accessories to get a specific sound based on the accessories that so-and-so uses. Additionally, not only is there a cost to getting "that sound" but we/you will never have the studio, gear, engineer.... that so-and-so had when they developed that sound. What I always suggest is to buy whatever you want and then dial it in to get your sound. GLWH (good luck with hunt).