Yeah, I saw a YouTube video of the Fender Custom Shop guy demonstrating the Andy Summers Tele and if I remember correctly, he said Andy told him the preamp was dead when he got the guitar. I've studied close-up pics of both the circuit used in the Summers and the one used in the Clapton Strat and they are very similar. So no one knows if the new Tele sounds like the original preamp, but I do know that the one Fender uses sounds really good.
Like you said, it's not vital to the Police sound necessarily, but it sure is cool.
But surely there are many boosts that would do a good job. I've been looking at several at DIYstompboxes.com and other places, trying to find a one knob (level) version to try in my Tele project. The cool thing about little boards like these is they cost next to nothing to make so you can afford to experiment until you get what you want.