In theory the things you're considering could potentially help with that problem, but in my experience they probably won't.
My Rickenbacker 4003 has a weak low E and I've tried everything you mentioned except installing a preamp, plus endless setup and tweaking, and nothing has ever worked. It's a resonance problem, and replacing one single part is not necessarily enough to fix it. Every component of the bass is making up a single vibrating whole. It's what causes your typical dead spots on the G string too.
For example, I've had 3 different bridges on my bass, not specifically for the purpose of fixing this issue but because each one kept having other problems. But they were all much higher mass than the original, and still the weak E remained. I even had the route under the bridge filled in with a wood block - increasing the mass of the bass even more - and that didn't help either.
Changing the pickups won't work because they're just picking up what the string is doing. If the bass has a resonance problem it means it's vibrating sympathetically with certain frequencies and absorbing energy that would otherwise be retained by the string. I changed the neck pickup on my Rick and it didn't have any effect on this problem.
I've had a bit more success fixing normal type dead spots on the G string. For my Stingray I stuck a 5 gram tire balancing weight on the D string tuning key. That shifted it just enough for the note to aound acceptable. For my Pedulla, Michael Pedulla had to actually route a bunch of holes into the body under the pickups in order to fix it. So, problems like this can be solved by both adding and removing mass, but which direction you need to go, and how much, you don't really know. Plus, my impression is that the lower the note the more the mass needs to change in order to have enough of an effect. I don't know that scientifically, I've just messed around with this stuff for a long time. Who knows how much I'd have to add or remove from my Rick in order to get it right. Or your Fender.
I'm afraid the only sensible thing to do is get rid of the bass. That's what I should have done with my Rick if I hadn't been young and sentimental about it. Otherwise you start down a road of madness and spending with a low chance of success.