Depends how bright they are, proper DRL's are too bright to have on at night and you wouldn't want them on if you decided to leave the car parked with sidelights on. I fitted some 'extra sidelights' (a strip similar to yours, made by Ring) to my previous Jazz in about 2009. The were bright enough to be noticeable in dull conditions when I didn't necessarily want to put dipped beam on, but not bright enough to be a bother to others at night (unlike some idiots who seem to think it's OK to drive around with front fogs on all the time). I never had a problem come MOT time and all in all felt they were a useful extra light to have instead of just the tiny bulb in the sidelight.
if you want to make yours more legal you could have a feed from a live that comes on when ignition is turned on (such as feed to cigarette lighter socket, remember to fit an in-line 5 amp fuse to supply your DRL's ) and buy a 12 volt relay with plug on tags (from Halfords or Maplin), wire the feed to DRL's through a normally closed relay pole and wire the coil of the relay to your sidelight bulb (earth the other side of relay coil), when the power comes on to sidelight bulb the relay will energise, this will open the Normally closed contact and remove power from DRL's. As the sidelights stay on even with headlights on this will mean that DRL's will not come on with headlights. If you want to be a bit more compliant, put a suitable resistor across the normally closed pole so that when it opens the resistor will supply reduced power to the DRL's and dim them.
If you use feed from cigarette lighter fuse your sidelights will work as normal, without DRL's coming on unless your key is in the ignition and turned to 'ACC' position. On some newer cars power may be on the 'AUX power' socket all the time.