Normally yes... Mine normally isn't going after bugs further away than 30 cm or so from him (unless they are in his bowl). No vision problems, however, but not that food-motivated. He sees the bug - but just not goes after it. Same with seeing me holding the bug container and working with it. He gets excited, but won't come.
"No bug day", however, I think, made him making this exception
(When I remember when I had a sand lizard, that was an avid hunter. Bugs in - in this setup, "bioactive" but wasn't knowing it's called like that, I wasn't using a bowl - , and off she goes! That one was a female, slightly disabled after a lawnmower accident - was from the wild, and that's why I had her until she recovered and I released her.)
Yes - if there is a bug not moving much, he's leaving it behind. He carefully selects what he grabs, also from the bowl. Also, when he accidentally bites a larger bug (i.e. superworm, that's the only "long" feeder I have) into two halves, he eats the half that had fallen down
only if it's the front part that's trying to crawl away. If it's the other part that has fallen down, however, he normally won't eat it (but recently I've seen him twice waiting and thinking a moment and then grabbing that too).
He appears to me not like "movement-triggered" in the way "moves - I have to eat that!" (reaction of our fish when somebody approaches as if feeding, or of course cats playing with toys) but rather like "hungry - but I'm not eating that, isn't moving enough so it's not appetizing".
Movement like in cat toys - I bought some for him, and selected those that are beardie-safe so no feathers, no bells or other small parts - does not get him interested. I also showed him me interacting with the cat toys while he was outside of the enclosure - he looked briefly, and rather went on exploring.