So I used one of my test ABP setups in v2 and took that for a spin as a base line using my on-desk Adafruit Feather M0 with RFM95 using LMIC 4.0.0 which says it is LW 1.0.3 compliant (no reason to doubt it).
Then created the same ABP device but using a slightly different AppSKey in v3 using the CLI (to save on typing in all the frequencies) but without setting Resets Frame Counters to Enabled.
Uplinks were ignored if I reset the device until it reached the last max uplink count.
When I ticked the Enabled checkbox, uplinks were received regardless.
I created a new ABP setup using the CLI but set the Resets Frame Counter and re-flashed the Feather - it received all uplinks regardless of Frame Counter.
ESP deep sleep generally means that RAM is lost, therefore state is lost. But that shouldn’t preclude the reset counters option.
Which LMIC are you using?