You can face mount equally wellwith Lambda or injet images. The type of paper used will determine the best type of face mounting.
Where possible the Diasec process is prefered over the use of optically clear laminate films for a number of reasons.
I will not go into them all here, but the laminate films (although they have some elasticity) will not expand and contract equally as the acrylic expands and contracts. After a while , particularly on large images, a 'spider web'effect starts to appear in the image caused by the laminate clrinkling as the acrylic contracts.
Basically you can use the Diasec method on all images. If you use this method on semi or gloss inkjetimages, it requires a special laminate on the image first. Not all laminates are suitable. If you use a Photo rag or matt inkjet paper, no laminate is required prior to processing.
If you do not want to use the laminate step, you can use the optically clear laminate method for gloss inkjet images.
It is virtually impossible to do this method without some silvering,or dust particles showing in the image. Most operators state that the image is acceptable if you can stand 5 feet back from the image and notnotice the dust etc.
The gel method does not have this issue.
NB I am a licensed Diasec® provider and also have worked with optically clear laminate to face mount.
IMO - in the short term they both look good - in the longer term the Diasec is better. I deal with major galleries and they all use the Diasec method.