There are different types of position reports. (Although based on your previous questions I think you mean North Atlantic position reports.)
- Report downwind
- Report when over waypoint XXXXX
- Report when reaching FL XXX.
For those a "roger" from the ATC suffices when they get the report from the pilot in a non-radar environment.
But when it's a long position report during an oceanic crossing over a noisy HF frequency, here the ATC will read back all of it. The pilot will match it to the report they just trasmitted, and if it matches, the pilot will say, "read back correct."
That's why in the days before FANS 1/A it took up to 45 minutes for one report to be completed error free (that and waiting for one's turn). You can listen to such exchange with Gander Radio on YouTube here on a flight from Europe to the US.
Here's what ICAO Annex 10 says:
22.214.171.124.2.3.1 PANS.— An aeronautical station should acknowledge position reports and other flight progress reports by reading back the report and terminating the read back by its call sign, except that the read back procedure may be suspended temporarily whenever it will alleviate congestion on the communication channel.
An 'aeronautical station' is the one with the 'radio' suffix, e.g., Santa Maria Radio over the Atlantic.
The document for the VHF/HF North Atlantic communication (for the ATC side of things) is elusive for some reason (hence the video). But the SATCOM one (ICAO) is easily found. When submitting reports over satellite telephone, the ATC will acknowledge / read back the message/report:
126.96.36.199 When receiving a SATVOICE call, the controller should:
d) acknowledge message; read back the message or selected contents, as required (...)
Oceanic radio example (but not North Atlantic):
From the South African AIP with regard to 188.8.131.52.2.3.1 for an oceanic report over the radio:
NOTE: the following example illustrates the application of this procedure
(Network station acknowledging receipt of position report)
Johannesburg Oceanic Springbok Six Zero Wun - Wun Ait Ait Six Wun
Springbok Six Zero Wun - Johannesburg Oceanic - Go Ahead
Springbok Six Zero Wun - Overhead UBVER At Wun Six - Flight Level Wun Ait Zero - Estimating EXAKO At Wun Too Tree Ait
Springbok Six Zero Wun - Oceanic Copies UBVER At Wun Six - Flight Level Wun Ait Zero - Report At EXAKO Next
Aircraft (Denoting Correctness Of Readback):
Report At EXAKO Next Springbok Six Zero Wun
Will ATC read back / acknowledge the oceanic position report?
- HF/VHF/SATCOM - Yes
- ADS-C - No, as long as the system is logged on
- CPDLC - No, according to ICAO GOLD document page A-37.