If still at entry level turntable would a new amp make much difference?

Upgrade your front end source components first eg turntable, tonearm, cartridge, phonostage pre. This is where the signal starts.

Thanks all for responding.  I will wait to upgrade front-end  / source before going with a new amplifier.

After a quick skim-read of a few reviews, it looks like your tt can come with a 2m blue as one of the options straight from the factory. Not being able to adjust VTA may affect compatibility with certain cartridges, and it looks like even the 2m red or blue you may need to sort something with the counterweight.
https://uturnaudio.com/blogs/uturn/how-to-change-your-turntables-phono-cartridge

I'd say the 2m blue would be a great way to see what kind of improvements you can get from your current table, without being overkill in terms of matching with your other gear. 

In my experience, one of the most important things to have a think about is the relationship between the speakers and your room. Then you need a well matched amp to drive them. The speaker/amp combo can only reproduce what they are fed, so obviously the source is hugely important in terms of what the whole system is going to sound like - what kind of sound are you looking for? Detail? Warmth? 

Your speakers have reasonably high sensitivity so you could try a tube amp, I read the stereophile review of your Onkyo which says it has a decent phono stage and sounds a bit "tube like", but there's nothing quite like an actual tube amp... primaluna amps are worth a look, lots of good reviews and won't break the bank. 

Those Nestovoriic's are very capable. The Onkyo isn't giving you a clue of their potential. Whether tube or ss, amp upgrade will make a big difference. Your paring is like Pirelli racing tires on a skateboard.
 Tube route generally costs more $/watt, but with reasonable 91db rating you don't need a ton of power. Tube amps with 4ohm taps should be well able to do the job. Used tube amps often have simple circuits, so you can think of new tubes almost as an amp upgrade; a good amount of what you hear will be tube- dependent. Push pull topology with common & available tubes(e.g. EL34, KT88) are a smart choice. Music Reference and Rogue amps are good options.
If you prefer ss, Nelson Pass's First Watt value brand and Odyssey are both worthy contenders.
You could do that and still upgrade cart for $2k total. Hang on to old cart and sell it with the table when you eventually upgrade that. 
This route will at least let you hear what the table is capable of before you make a change.
Cheers,
Spencer