slightly + comparative adjective

Point 57 in the category of  adjectives in the English Grammar Profile is defined by the adverb:

‘SLIGHTLY’ to modify comparative adjectives to a small degree.

A search in the iWeb corpus:

1 SLIGHTLY HIGHER 29559

1 THAN (CSN ) 9879
2 PRICE (NN1 ) 1458

3 RATE (NN1 ) 1425
4 RATES (NN2 ) 702
5 RISK (NN1 ) 682
6 PRICES (NN2 ) 617
7 COST (NN1 ) 511
8 LEVELS (NN2 ) 409
9 INTEREST (NN1 ) 403
10 TEMPERATURE (NN1 ) 338

2 SLIGHTLY LARGER 22466

1 THAN (CSN ) 9478
2 SIZE (NN1 ) 1150
3 DIAMETER (NN1 ) 712
4 HOLE (NN1 ) 367
5 MALES (NN2 ) 359

3 SLIGHTLY SMALLER 15931
4 SLIGHTLY LOWER 15416
5 SLIGHTLY BETTER 12189
6 SLIGHTLY LONGER 7128
7 SLIGHTLY BIGGER 6716
8 SLIGHTLY WIDER 5061
9 SLIGHTLY SHORTER 4936
10 SLIGHTLY OLDER 4600
11 SLIGHTLY DARKER 3877
12 SLIGHTLY HEAVIER 3427
13 SLIGHTLY THICKER 3353
14 SLIGHTLY LIGHTER 3288
15 SLIGHTLY CHEAPER 3160
16 SLIGHTLY WORSE 2428
17 SLIGHTLY GREATER 2285
18 SLIGHTLY WARMER 2189
19 SLIGHTLY FASTER 2111
20 SLIGHTLY SLOWER 2108