Worth bearing in mind is also that many ATS units (talking Europe here, can't comment on US) are unaware of any particular single-engine procedures, known in my company as "Emergency Turns." Many of these are company-specific as well. Therefore, they may be very surprised to see you turn off the SID, despite a failire. I always include a discussion of what we would say in the very brief call to ATC should we have to fly an Emergency Turn, given the above considerations.
Also, it's worth discriminating between SID tracks which are there for noise only, as well. Certain flat terrain arifields with complex departure turns for noise would find those turns being ignored in the event of a high-weight engine failure, were I in the seat. All with a call of course, albeit brief and to the point.
Squid