Bradbury recently allowed the trio to go out on loan for the second time this season, their latest moves likely to curtail any involvement in Cherries' promotion push.
But while Taylor, Nelson and Thomas have all hooked up with Conference South clubs, Bradbury maintains their respective futures lay at Dean Court.
Striker Taylor, a summer signing from Ryman League Concord Rangers, made three starts and nine substitute appearances under previous boss Eddie Howe.
The 21-year-old has been restricted to one brief appearance off the bench under Bradbury and has joined play-off hopefuls Woking, having previously served Lewes.
Defender Nelson has yet to feature for the first team since being plucked by Howe from Ryman League Tooting & Mitcham in the close season.
Having gained valuable experience with Conference strugglers Eastbourne Borough earlier this season, the 21-year-old has been pitched in to another relegation battle with Lewes.
And teenage goalkeeper Thomas, who has been named in the first-team squad this season, has returned to Dorchester, having enjoyed a fruitful spell with the Magpies at the start of the year.
Bradbury told the Daily Echo: It is not as if I have sent them out because I want to get rid of any of them. That's not the case at all. I just think that for the sake of their respective developments, they need to get games. They need to put themselves into match scenarios and learn from it.
You can do that in training all day long but, as we haven't got any reserves games left, they aren't going to play here between now and the end of season. I felt it would be beneficial for them to go out and get some games.
A quirk of fate regarding the fixtures saw Taylor net Woking's winner against Thomas in midweek, while Nelson is today due to visit the Avenue Stadium with Lewes. The trio will remain with their respective clubs at least until the end of the month, although Cherries have a 24-hour recall clause on Thomas.
Bradbury added: Dan did very well when he was at Dorchester before and we had to bring him back because Shwan Jalal was injured. He has gone back to get some minutes under his belt and we can keep an eye on him while he is there.
Woking are going for the play-offs and Lyle also needs some game-time. He came to us from a couple of divisions below that level and, to come straight into the top of League One and compete week in, week out, has been very difficult for him.
Mitchell has gone to Lewes for the same reasons. He also came from several leagues below and was finding it difficult to break into the squad. Going out on loan will give them a chance to get six or seven games and will be good for their development.