My son, now 10, plays small basses. So I had the opportunity myself to play 1/8, 1/4, 1/2. All were new(ish), of the same construction and probably from the same Hora factory - Thomann carved basses under 2000€. Compared to my 100 years old carved Czech 3/4, they are all less boomy, more pronounced in the mids than I'm used to, but actually sounding quite nice and I'm sure would be very suitable for amplified pizzicato. If I were to compare how the sound changes depending on size 1/8 to 1/2 and guessing 3/4, I would suggest these observations:
1. The smaller bass is generally more or less of very similar loudness in mid and high frequencies, played mezzoforte with a bow.
2. The smaller the bass, the less low end it can acoustically produce.
3. The smaller the bass, the lower its 'dynamic range' or 'respond to right hand bow techniques' (meaning that you find limits of the bass expressions with the bow sooner with the small bass).
4. Judging by the feel, the difference of sizes is about 'half tone' - fingering half position on 1/2 would be similar to first position on 3/4.
5. The neck is also thinner with smaller size of the bass, which makes the 'open hand' (the stretch between fingers and thumb) smaller, and the 'Rabbath pivots' easier.
6. With the basses I had in hand, I feel that the sound difference between sizes is not so great that it would necessarilly prevail the quality of build. Good 1/2 would sound better than average 3/4.
I know there are orchestral players preferring 1/2. It is possible to get 1/2 with big sound, even old carved bass, but these are quite rare and therefore more expensive.
All the talk about sound quality and massivness of the sound, in my opinion, concerns orchestral bow playing mostly, where you want the big strong acoustic sound. If you are a jazz player playing mostly pizz and amplified, I think you can safely suppose that you'll find suitable 1/2 quite easily.
With all this said, I'd throw in the last bit, and I apologise in case it's too trivial. Newer methods of bass pedagogy generally avoid finger stretching, preferring pivoting the rested hand on a flexible thumb. It doesn't help always - sometimes you have to stretch - but most of the painful stretching can be avoided in most situations. There's a lot to learn about this topic in Chris Fitzgerald youtube videos
such as this one, and of course in books by
Rabbath or
Vance. As always, better technique helps tremendously and may save your playing for many more years.