There is no provision for using subsize tensile specimens in at least ASME SA 540. Other ASME material specifications do allow for subsize specimens but this must be reported and corrections must be made regarding the results (especially for impact testing). There are no blanket statements or assumptions for using subsize specimens unless specifically allowed by the specification. Review SA 540, section 16.1 and 16.2, excerpts below
16.1 A discard equivalent to the diameter of the bar
when heat treated as a solid or a discard equivalent to the
wall thickness when heat treated as a seamless tube, bored
bar, or hollow forging shall be taken prior to removal of
test coupons.
16.1.1 When production pieces are not of sufficient
length to permit removal of test coupons in accordance
with 16.1, the mid-length of the specimens shall be at the
mid-length of the production pieces selected for destruction
to provide test coupon material. The production pieces
selected for test shall be identical with respect to the
quenched contour and size except for length which shall
equal or exceed the length of the represented production
pieces.