The DirectionsResult object is not in the link that users can get from maps.google.com. However the endpoints, and any eventual waypoints are, and given the same endpoints the routing engine should produce the same result.
Edit
Below is the URL from your link disassembled. (I left out the ampersands). I count 24 waypoints, (including 2 end points). The only mistery is in the 'geocode' parameter.
https://maps.google.co.uk/maps?
saddr=Unknown+road //1
daddr=51.59782,-2.08838 //2
+to:51.74885,-1.94076 //3
+to:51.89255,-1.87129 //4
+to:51.82571,-1.79752 //5
+to:B4020 //6
+to:51.8183,-1.41985 //7
+to:51.72228,-1.43255 //8
+to:51.6239798,-1.3071767 //9
+to:B4001 //10
+to:51.34501,-1.34062 //11
+to:51.35822,-1.12071 //12
+to:51.31526,-1.02412 //13
+to:51.08784,-1.62069 //14
+to:51.29048,-1.73004 //15
+to:51.21761,-1.98589 //16
+to:51.397,-2.13542 //17
+to:Gloucester+Rd%2FA46 //18
+to:51.69001,-2.22161 //19
+to:51.81753,-2.07376 //20
+to:Southam+Ln //21
+to:52.06075,-1.95706 //22
+to:52.1244,-1.64775 //23
+to:Unknown+road //24
hl=en
sll=51.421477,-1.238708
sspn=0.804988,2.425232
geocode=Fe3uEwMd_znk_w%3BFfxREwMdRCLg_ylHpOCHwW1xSDHRnVfMI4sNEw%3BFfKfFQMd6GLi_ymv2fIl5RVxSDFAVssIXhupMA%3BFUbRFwMdRnLj_yk75kbkvCNxSDHw_q6FJ4sNEw%3BFS7MFgMdcJLk_ykD5mQuJTtxSDHgWC3MI4sNEw%3BFdYZFgMd7WHn_w%3BFTyvFgMdtlXq_ymvJFBAac52SDFgrE_MI4sNEw%3BFSg4FQMdGiTq_ymp-yJAfMl2SDGhNuPMI4sNEw%3BFSu4EwMd2A3s_ylFwdt-trl2SDF0LAm28EHw6A%3BFZq5EgMdyvfo_w%3BFXJ2DwMdNIvr_yn381tpGqh2SDHyCAjGbJ6ylw%3BFQyqDwMdOubu_ykbWNAI8p92SDEglIatLa4OEw%3BFTwCDwMdiF_w_yl5ij0IOid0SDHaHrE5DElJBg%3BFeCJCwMdLkXn_yl_I3MRXvFzSDEA3pytLa4OEw%3BFXChDgMdCJrl_ynf-pMZIeNzSDHByGFPQfQQEw%3BFcqEDQMdnrLh_yk5pddkcdxzSDGx1yhQQfQQEw%3BFYhBEAMdhGrf_yn9N9ICjnxxSDESypqQN61DoA%3BFczUEAMdiOLb_w%3BFRq6FAMd1hne_ylrQ8v5YQtxSDFgr3TNI4sNEw%3BFTqsFgMdYFvg_ykTvsctjBBxSDGlvLvm_K2I9g%3BFWphGAMd4rrg_w%3BFU5iGgMdPCPi_ym5URqPnOBwSDGQ6kLMI4sNEw%3BFfBaGwMdetvm_ylznhar3NNwSDFuGBHuA73ljw%3BFeB7GQMdItPn_w
mra=dpe
mrsp=11
sz=9
via=1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,19,21,22
t=m
z=8
Here's an explanation of map parameters, (best I know of):
http://mapki.com/wiki/Google_Map_Parameters