Holt (The Decivers) has two passages relating to this. He draws from Allied post war intelligence reviews of German documents and interrogation of the German officers in the 'Enemy Forces West' section. First Holt claims the head of Enemy Froces West was relying almost entirely on information from the Abwehr agents in the UK, Spain, and perhaps Ireland. He goes on to describe how the OB thus collected did not seem to have been subjected to any critical analysis.
Second the Allied review of the signals intelligence effort aimed at the UK also found it lacked any indepth analysis. The intercepted massages were present enmass and included a larger portion of both actual Allied ground forces message traffic from the British Isles, and the false traffic. A fair portion of the messages were decoded, at least as far as the Germans had penetrated the systems below Typex & SIGABA. However little had been done for sorting through all this to seek out the important details. From this I have the impression to technicians and junior staff were doing their part, but the senior staff were not. Holt does not go into any depth on this, does not name any names, quote anyone, or reproduce passages from any reports. So, we have to assume all this reflects Holts take on it and may diverge from the actual Allied reports.
If Holt is accurate then this statement of Major Dr. Rudolf Hentze, Head of Gruppe IV (Cryptanalysis) General der Nachrichtenaufklaerung' would fit the incomplete analysis of the Allied radio traffic.
Thats about all I can offer off my shelves. If you have any questions about Holts description I'll try to pick out the answers from his text.