Yes, we can theoretically use the Sun as a giant telescope. Does it make sense? Firmly no. It would be cheaper, faster, and more operable to build an optical telescope with a primary mirror diameter of a full mile, at a distance of tens of thousands, or even several million kilometers from Earth. Just reaching the focal point of the Sun is unachievable with today's technology within a lifetime and even with those of the next 30-40 years. Moving the telescope's camera to view an object in a sector in a sufficiently different direction from the original may require traveling many hundreds of billions of kilometers more.
I firmly agree but maybe for different reasons...
I think getting there would not be the problem. We have newer technology and better understanding and more powerful computers so we can be much more accurate about gravitational assists from large bodies like planets than we did in the 70s. Plus, I think people might think it worthwhile to wait for the satellites to get there, even if we could get there in half the time it did/does for Voyager 1.
The challenge is then to slow down to hold this constellation of satellites at the correct distance. Then you have to synchronize them and position them to hold them, flying in formation, to either micron or nanometer precision. Otherwise you get all sorts of aberrations and distortions.
Then to aim at different objects, you'd have to move the satellite constellation around the sun. Which would be enormous distances at that point. And once they're there, again get into and hold an extremely precise formation.
To get to a significant number of targets, you'd actually probably have to send a full constellation for every single target you want to observe, or maybe group of targets that are in the same proximity.
Then if you wanted to observe targets that aren't on the same plane as our planets, you'd have to find good ways of then placing the targets in orbit around the sun, at that distance, which by some is considered not even inside our solar system, on an orbital plane that is significantly altered from ours. Which that would also require a lot more fuel and careful planning of gravity assists than an orbit that's on the same orbital plane.
Then there's the issue of: look at all the issues we're having with Voyager 1 right now. And how long it takes to get messages to and from it. These would have to go farther... So, realistically, you'd probably have to send several redundant cubesats in case of systems failures, like, a minimum of two redundant cubesats for each member of the constellation.
And then by the time they get there, let's say we use a combination of solar sails and some crazy nuclear propulsion system and they get there in 20 years... Which I think people would see that as worth it... Somehow carrying enough fuel or some future propulsion system that could slow them to stay in orbit... That tech would then be already obsolete. At which point, some other mad astronomer scientist would be like "let's replace them with newer tech!"
It's an extremely novel idea, and we need more like them because maybe we could come up with actual useful ideas by piggy backing off of them... Like... What if instead of placing the cube sats that far out, at the focal length like a refractor, what if we put mirrors in at a much closer spot, in a giant formation and and then reflected those to another satellite that then reflected that to a much closer focal point, effectively making a giant SCT or RCT in space? Many of the same challenges remain, but at that point they're likely more manageable.