Sorry, I was answering the original question of the post, i.e., whether you are required to have a DME if the title of the procedure includes DME, or whether you need a DME ONLY if the phrase "DME required" appears on the plate. I'll clarify the answer to that question in this post and then take a stab at YOUR question at the bottom.
I think, based on the above post, that DME is required in both cases, but NOT required if the title says, OR /DME..
In other words, I think that all of the below require DME:
VOR/DME 21
VOR 21 with the words "DME required" printed on the plate.
VOR 21 with the words "DME or RADAR required" and the RADAR doesn't work. (Maybe the field is listed non-Radar on a NOTAM or something).
VOR 21 or NDB/DME 21 (and you have an NDB and a DME, but not a VOR)
VOR/DME or TACAN 21 (since TACAN includes DME)
However, IMHO the following don't require DME:
VOR 21 (DME not mentioned anywhere)
VOR 21 with "DME or RADAR required" and the RADAR works
VOR 21 or NDB/DME 21 (and you have a VOR)
On to the second question...Must there be a way to independently identify the glideslope intercept altitude. I don't think so, but I'm not sure. Here's why I think the answer is "no":
Again from the United States Standards for Terminal Instrument Procedures, the ILS has 3 components, the localizer, the glideslope, and the outer marker. The outer marker may be replaced by an outer compass locator (LOM) or by DME. Paragraph 913 states that when the LOC is out of service you can't fly the approach. When the G/S is out, you can fly the approach as a non-precision (a LOC), and "...When other components become inoperative, the ILS may continue in use with the landing minimums as prescribed in paragraph 350" Paragraph 350 talks about standard minimums for precision and non-precision approaches and makes no mention of there being no way to identify a FAF on a precision. From that I infer that you are not required to be able to independently identify the correct glideslope intercept point to fly the approach, or the paragraph above would be written differently. As for me, I would probably not fly that one in real weather if I had a choice, but I think it would still be legal. Unfortunately, I couldn't find a reference that directly and specifically refers to this question, so I'm kind of reading between the lines here, and giving my interpretation, not FAA guidance. Hopefully, there is someone out there who knows a better reference?