That is what has been my experience across several balanced toroid and half a dozen normal and balanced EL (Topaz/MGE/Xentek/Taiyo-Yuden) transformers.
You won't electrically harm the equipment by exceeding that ratio. But soundstage will shrink in every dimension, the effortless micro- and macro-dynamics start to go away or get blurred, bass slam and broadband punch disappear, tonal body starts to get hollow, etc.
I have A/B'd this even on the same transformer. I wouldn't attempt to speak to the exact technical drivers behind it, but my observations have been incredibly consistent across 3 different US states...one on each Coast..., and now two different cities in Texas (Dallas & Houston).
I am also a huge fan of going balanced if one's transformer can support it. However, that electrically halves the capacity (i.e. 5kVA --> 2.5kVA, etc). Though, most transformers run far quieter (physically) and cooler in balanced. In addition, common mode noise is just crushed....so the strong sense of getting midnight/1am sound literally all day is even more solidified over a correctly sized xformer alone.
I have intentionally grossly over-spec'd my most recent 3 transformer purchases to accomodate balanced if I so choose. One (a 31 series Topaz .0005pF 2.5kVA) running my tube system is fat and happy without being run balanced. I'm not pulling more than 850w out of it at max current draw. Usually less than 650w (two 845 Monoblock SET amps ensure some current is drawn constantly).
The other two are much happier in balanced (both for audible hum and temperature...and sound quality). a 5.2kVA Taiyo Yuden .001pf and a 10kVA Topaz -31 series .0005pf.