SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    10659, 10664, 10666, 10661, 10663, 10190, 
    10657, 10658, 10194, 10692, 12530, 
    12516, 12496, 12519, 12510, 10087, 
    10100, 10698
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00088

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 36,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10659,10664,10666,10661,10663,10190,10657,10658,10194,10692,12530,12516,12496,12519,12510,10087,10100,10698) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
10087 product-10087 265/271/275
10100 podushka-dekorativnaya-romantika-52-30h50 265/271/275
10190 podushka-dekorativnaya-garmoniya-grafika-07-30h50 265/271/275
10194 podushka-dekorativnaya-garmoniya-grafika-09-30h50 265/271/275
10657 podushka-dekorativnaya-garmoniya-grafika-07-50x50 265/271/275
10658 podushka-dekorativnaya-garmoniya-grafika-08-50x50 265/271/275
10659 podushka-dekorativnaya-garmoniya-bukle-05-50x50 265/271/275
10661 podushka-dekorativnaya-garmoniya-grafika-01-45x45 265/271/275
10663 podushka-dekorativnaya-garmoniya-grafika-04-45x45 265/271/275
10664 podushka-dekorativnaya-garmoniya-bukle-07-30x50 265/271/275
10666 podushka-dekorativnaya-garmoniya-bukle-08-30x50 265/271/275
10692 podushka-dekorativnaya-garmoniya-grafika-09-50x50 265/271/275
10698 product-10698 265/271/275
12496 podushka-dekorativnaya-garmoniya-rogozhka-03-seryy-kant-30h50 265/271/275
12510 podushka-dekorativnaya-garmoniya-rogozhka-04-siniy-kant-30h50 265/271/275
12516 podushka-dekorativnaya-garmoniya-rogozhka-02-goluboy-kant-50h50 265/271/275
12519 podushka-dekorativnaya-garmoniya-rogozhka-03-seryy-kant-50h50 265/271/275
12530 podushka-dekorativnaya-garmoniya-rogozhka-02-goluboy-kant-30h50 265/271/275