Maybe the laryngeals have had the followings phonetic values
h1 = x
h2 = xH
h3 = xW
even the contested h4 could have a chance as xWH
Arguments:
1. This outputs will be in line with g, gH, gW(H) etc...
2. The reductions :
*h1e /xe/ > *He > he
*h2e /xHe/ > *H&/a > ha
*h3e /xWe/ > *HWe > ho
have sense.
3. the vocalisations have valid phonemic outputs
*h3nh3mn. > h3.-nh3.-mn. /xW.-nxW.-mn./ > /xo-nxo-mn./ > /Ho-nHo-ma/
> onoma
*ph2ter > pxH.-ter > pH&-ter
x. > He
xH. > H&
Marius