I'm not so sure those estimates are correct. Bogey's offense has been way more consistent than Correa's, since his relatively slower start, and he has missed less time with injuries than CC. Many GMs value that, too.
OPS+
Correa (will be 28 all season 2023)
135 in 2015 (age 20) 432 PAs
124 in 2016 (21) 577
155 in 2017 (22) 422
99 in 2018 (23) 468
137 in 2019 (24) 321
93 in 2020 (25) 221
131 in 2021 (26) 640
140 in 2022 (27) 590
2021 and 2022 were the first 2 years in a row Correa had more than 481 PAs or an OPS+ above 130. Is he consistent enough and healthy enough to get paid way more than Bogey- just because of better D?
Bogey (will be 30 all season in 2023. He began at age 20- same as Correa, but became FT at age 21)
87 in 2021 at age 20 (50 PAs)
84 in '22 (21) 594
107 in '15 (22) 654 (The year CC broke into the bigs)
111 in '16 (23) 719
95 in '17 (24) 635
135 in '18 (25) 580
139 in '19 (26) 698
128 in '20 (27) 225
129 in '21 (28) 603
131 in '22 (29) 631
Bogey has 9 seasons in a row over 590 PAs, if you pro-rate 2020. He has had 5 straight seasons at a 128 OPS+ or more.
Correa has had 3 of 7 seasons at 590 PAs or more and only 2 over 630 PAs. He's been over a 128 OPS+ in 3 of the last 5 seasons.
I do think Correa gets more money and more years (due to his age), but it might not be by as much as you suggested.
I'd take Correa at $260M/8 over Bogey at $160M/6. It might be more like $300M/10 CC vs $225M/7 XB. I'd still go CC, but I have no idea which one the Sox would take. (My guess is neither, but if they had to, I'd guess CC.)
One wild card is the fact that CC's D declined, this year, while Bogey's improved, and there is no shift, next year.