Bilko, I really don't think your interest in bushcraft is a result of a genetic link to parents who may or may not have been 'Romany' or other real itinerant travellers, with or without the affiliation to the Catholic Church or Rom religion.
We really are all descendants of the nomad and skills learned and shared are just that. Your genetic parents are the bows, and you are the arrows that they send forth.
I've been around gypsies most of my adult life. I now live between three large sites where Irish and 'other' English gypsies just don't intergrate. The English were indeed bullied off of their traditional site during the 1970's by a influx of Irish. I'm respectful to all travellers and find there's myth and bull in all camps, English especially. I've travelled, lived and worked with horses, from collecting scrap metal, to timber extraction. Travelled for years with my bowtop and several horses. Due to health reasons I no longer keep horses. I do however own a horsedrawn Ledge wagon that started life in 1916 as a potcart dray. In 1962 it was converted to a live-in Ledge wagon, which the original 'gypsy' wagon builders family would dearly like to buy back off of me.
I find there's much to be said about the wrongs of the 'traveling community' gypsies are usually chastised for dumping rubbish when we all know house dwellers and unscrupulous garden clearance guys are dumping by the truck load.
Regarding 'bushcraft skills' and the continuing practice of these skills amongst today's surviving Romany Gypsies. Unfortunately there is little call for such skills. The need to leave signs at road junctions and in hedgerows have gone with the arrival of mobile phones. Building shelters (benders) has been replaced with the tin trailer, foraging and huntings is usually a pastime or a serious investment in coursing dogs and air riffles. Some of them can show you how to start a walk away car fire 'not kidding'
The 'old trades' Tin smithing and peg making is largely kept alive for the tourists and for pin money. Gypsies shop at the same stores as the rest of us, probably more 'takeaways' than settled folk. Large supermarkets are reluctant to deliver groceries to legal sites, let alone camps at the side of the road. So the combustion engine is king. There's always someone on site who's not been drinking and is legal to drive at any time of day or night. To answers the OP question. Bushcraft skills are of no more importance to the travelling community, than they are to the settled community. The two lifestyles have merged and live similar lives.