Man here, and owner of a Fleshlight. I don’t find it shameful in the least - I bought it after I separated with my now ex-wife, because I wasn’t emotionally ready for the “real” thing, and I had heard good things about the Fleshlight.
And the good things are true! The feeling is totally different from the “standard” method of masturbation, and far, far closer to the “real” thing than I would have thought possible. The orgasms I have with the Fleshlight tend to be a lot stronger than the ones I have through the old-fashioned method, and totally worth the cleanup effort afterwards.
When I got with the lovely lady who is now my new wife, I found less and less need to use it - she is thankfully as sexually voracious as I am, and its only rarely that I have to literally take matters into my own hands. And in such cases, the old-fashioned way is the quicker, cleaner option. That said, I still break out the toy from time to time, and my wife enjoys using it on me or watching as we both play seperate but together. Still, it sits far more than I use it these days.
Long story short, regardless of how others may perceive it, I found my Fleshlight toy to be incredibly personally empowering - it allowed me to get through the hardest parts (pun intended) of an emotionally abusive relationship’s end, without having to go through the rollercoaster of danger and emotion of one-night stands.
If anyone has questions, btw, ask. Like I said, I feel no shame about it, and am not touchy about it in the slightest. No, I haven’t named it. 
A brief addendum to add: I’m definitely not a model; I’m overweight, prematurely gray, and wear glasses/corrective lens. That said, I’ve never had trouble getting laid. I am, generally, extremely confident and outgoing, and that seems to be a huge key to attraction for most women. That could be why I don’t find using a toy shameful - it’s always been about release, not desperation.
Huh…maybe that’s why the difference in some perceptions? For most women, using a sex toy is about release, where as many men feel their own use of one is out of desperation, a feeling that is often linked to shame?
Edited for grammatical error.