I've only been on dapagliflozin (Forxiga) as part of a dual medication pill (Xigduo) for five weeks so I'm no expert.
I've never had sudden urges to pee since I started it though that may be because it is my long time habit to drink lots of water. I rarely feel that sudden 'need to pee' urge in general. My guess is that everyone is different in this regard, possibly due to habitual water intake levels or possibly due to something else.
SGLT2 inhibitors like Forxiga work by blocking re-uptake of glucose that is filtered by the kidneys. It is my understanding that the higher blood glucose levels are the more will be filtered out by the kidneys and so more will be blocked and expelled via the urine. SGLT2 inhibitors are not known to cause hypoglycaemia on their own, so that is an indicator that they don't have very much of an effect when blood glucose levels are low. My understanding is it's not a thing that works only 'above a certain level', but the effect is greater the higher blood glucose levels are. As such lower carb intake should result in less glucose being filtered by the kidneys which should result is less glucose being dumped into the urine, which should reduce the frequency of that sudden urge to pee. Again, I'm no expert, this is just my interpretation of what I've read so far.