intrusive r but no linking r

John Wells spotted an interesting combination of using an intrusive r with avoiding a linking r. This nice example was to be heard in a presentation by Mark Tully on the 24th of July, 2016 on BBC Radio 4 in the weekly series Something Understood. Here are Tully's words:

Is the wind one of the wonders of nature which connect us to God, which so overawe us that we lose our self-awareness and experience the transcendent?

[ɪz ðə wɪnd wʌn əv ðə wʌndəz əv neɪʧə wɪʧ kənekt ʌs tə gɒd wɪʧ səʊ ʔəʊvəʔɔːr ʌs ðt wi luːz ɑː selfəwɛːnəs ənd ɪkspɪərɪəns ðə trænsendənt]

Listen particularly to the highlighted section.
Sir Mark is presently the regular presenter of the weekly programme mentioned above.