Again speaking from personal opinion, the first one looks pretty good even with the slightly flat tonal curve. The muted contrast suits the subject. However, in the second photo, I think the overall greyish impression just does not do the subject justice.
Digital IR really exacerbates the traditional issues of a digital capture converted directly into black and white, which tends to bland results. The contrast of a digital IR image straight off the camera is quite low, in fact even lower than of a visible-light image, and the greyish middle tones need to be pushed and the shadows pulled back quite a bit to add sparkle to the picture.