Yes it does, but it depends where you look for it.
On card (out of the box) it just show open or closed, but if you use the slider and set it to a position and look under developer tools status (find the cover entity there), it shows the current position from 0 to 100. I even see it changes positionvalues realtime there when the blinds deflects. But as said i am using the ikea trådfri gateway for the blinds, and not my Conbee 2.
Seeing this under developer tools/statuses when i deflected about 20 cm of the blind:
current_position: 84
friendly_name: Solskjerm terrassedør stue
supported_features: 15
icon: mdi:blinds
Take a look at the doc here for the Cover integration: