The NULA rifles are a good example of full neutral bedding and they shoot really well. Classic inletting was full almost squeaky contact but neutral bedding. A stiff stock full length with full length bedding can provide excellent accuracy. I think one factor is the older custom guns always used high grade really well seasoned wood blanks so stability was less of an issue than with kiln dried or blanks with a shorter air drying period. Floating the barrel was a dodge against warpage. Many synthetic stocks are not that stiff so floating is more likely to produce consistent accuracy.

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