I'm assuming 'up' = southbound? In that case, Yes, thinking about it, that would work quite well. It would be expensive - and in terms of 'most compelling case' be nowhere near Woking and Windmill Bridge - in my view the two clear top runners so far. But it would be very useful. I wonder if it would make it easier for the Barrow line to go half-hourly - something which Barrow surely deserves, or Lancaster-Leeds to go to regular two-hourly? As far as opening the main platforms - I kinda agree with you to the extent that with current service patterns, there wouldn't be too much point: The only trains that could realistically stop at them would be the Windermere ones, and there are only a couple a day of those. But I would have thought a sensible ambition would be for all Windermere branch trains to run to/from Preston. And if that happened, re-opening the mainline platforms at Carnforth would look a lot more sensible (and would also help to give the good connection between Lancaster and Carnforth you mention).
I'm going to hazard a guess that slow line speeds through the Carnforth platforms are in part because of the extreme curvature of that platforms. Would increasing them be possible without rebuilding the station in order to straighten the platforms?
The big unknown here is HS2. If everything goes to plan, then presumably, in 15 years time, all of the current fast WCML-Scotland trains will have moved to a new yet-to-be-built fast line. That probably means that the current line will swap to being more commuter in nature. I'm guessing you'll see a service pattern something more like perhaps a regular half-hourly service of slower trains, still running London/Manchester-Scotland, but catering for shorter journeys and intermediate stations, with everything calling everywhere between Preston and Carlisle. That probably means the case will become more of looking for new stations to open rather than increasing line speeds.
incidentally, your mentioning Carnforth made me think about where the line to Morecambe splits off. The current Morecambe service is very irregular and not nearly as frequent as it probably ought to be, and I wonder whether that is in part because of constraints imposed by that flat junction. Grade separation there would look at first sight quite useful (still not in the Woking league though). For full impact, you would also need to sort out the conflicting moves a mile further South when trains get into the terminating platform at Lancaster too. I would guess the easiest solution there would be to build a new terminating platform in between the main up and down platforms - there looks to be sufficient space for one, certainly if you removed at least one of the (very lightly used) fast lines.